Least Common Multiple of 38/154, 88/678, 743/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/154, 88/678, 743/868 quickly i.e. 621148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/154, 88/678, 743/868 is 621148.

LCM(38/154, 88/678, 743/868) = 621148

LCM of 38/154, 88/678, 743/868

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 38/154,88/678,743/868

Given numbers are 38/154,88/678,743/868

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 38,88,743

Least Common Multiple of Numerators i.e. LCM of 38,88,743 is 1242296.

GCF of Denominators means GCF of 154,678,868 as per the given fractions.

GCF of 154,678,868 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,88,743

LCM of Fractions 38/154,88/678,743/868 is 621148

2 38, 88, 743
19, 44, 743

∴ So the LCM of the given numbers is 2 x 19 x 44 x 743 = 1242296

Least Common Multiple of 38,88,743 with GCF Formula

Least Common Multiple of 38,88,743 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 38,88,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,88,743) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,88,743) x common factors =1 x 2 = 2

LCM(38,88,743) = ( 38 × 88 × 743 ) / 2

LCM(38,88,743) = 2484592 / 2

LCM(38,88,743) = 1242296


Lets's calculate GCF of 154,678,868

2 154, 678, 868
77, 339, 434

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1242296/2

Therefore the LCM of Fractions 38/154,88/678,743/868 is 621148

Greatest Common Factor of 154,678,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 154,678,868 By Matching Biggest Common Factor Method

Factors of 154

List of positive integer factors of 154 that divides 154 without a remainder.

1,2,7,11,14,22,77,154

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 154,678,868 . The biggest common factor number is the GCF number.
So the greatest common factor 154,678,868 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 38/154, 88/678, 743/868

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 38/154, 88/678, 743/868?

Answer: LCM of Numerators as per given numbers 38/154, 88/678, 743/868 is

LCM of Numerators i.e. for 38,88,743 is 1242296

GCF of denominators i.e. for 154,678,868 is 2.

Thus, LCM of Fractions is 621148.Finally, LCM of Fractions for 38/154, 88/678, 743/868 is 621148.